The series is: 6, 9, 14, 21, 30, ?
Finding the differences between consecutive terms:
9−6=3
14−9=5
21−14=7
30−21=9
The differences form a sequence: 3, 5, 7, 9
These differences increase by 2 each time, forming an arithmetic progression.
The next difference in the pattern:
9+2=11
The next term in the series:
30+11=41
Therefore, the answer is Option 2: 41